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Simplifying -7 + -2(1 + 6a) = -33 + -6a -7 + (1 * -2 + 6a * -2) = -33 + -6a -7 + (-2 + -12a) = -33 + -6a Combine like terms: -7 + -2 = -9 -9 + -12a = -33 + -6a Solving -9 + -12a = -33 + -6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6a' to each side of the equation. -9 + -12a + 6a = -33 + -6a + 6a Combine like terms: -12a + 6a = -6a -9 + -6a = -33 + -6a + 6a Combine like terms: -6a + 6a = 0 -9 + -6a = -33 + 0 -9 + -6a = -33 Add '9' to each side of the equation. -9 + 9 + -6a = -33 + 9 Combine like terms: -9 + 9 = 0 0 + -6a = -33 + 9 -6a = -33 + 9 Combine like terms: -33 + 9 = -24 -6a = -24 Divide each side by '-6'. a = 4 Simplifying a = 4
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